2(x+1)-3(X-1)=5(x+1)

Solution for 2(x+1)-3(X-1)=5(x+1) equation:

Simplifying
2(x + 1) + -3(X + -1) = 5(x + 1)

Reorder the terms:
2(1 + x) + -3(X + -1) = 5(x + 1)
(1 * 2 + x * 2) + -3(X + -1) = 5(x + 1)
(2 + 2x) + -3(X + -1) = 5(x + 1)

Reorder the terms:
2 + 2x + -3(-1 + X) = 5(x + 1)
2 + 2x + (-1 * -3 + X * -3) = 5(x + 1)
2 + 2x + (3 + -3X) = 5(x + 1)

Reorder the terms:
2 + 3 + -3X + 2x = 5(x + 1)

Combine like terms: 2 + 3 = 5
5 + -3X + 2x = 5(x + 1)

Reorder the terms:
5 + -3X + 2x = 5(1 + x)
5 + -3X + 2x = (1 * 5 + x * 5)
5 + -3X + 2x = (5 + 5x)

Add '-5' to each side of the equation.
5 + -3X + -5 + 2x = 5 + -5 + 5x

Reorder the terms:
5 + -5 + -3X + 2x = 5 + -5 + 5x

Combine like terms: 5 + -5 = 0
0 + -3X + 2x = 5 + -5 + 5x
-3X + 2x = 5 + -5 + 5x

Combine like terms: 5 + -5 = 0
-3X + 2x = 0 + 5x
-3X + 2x = 5x

Solving
-3X + 2x = 5x

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-3X + 2x + -2x = 5x + -2x

Combine like terms: 2x + -2x = 0
-3X + 0 = 5x + -2x
-3X = 5x + -2x

Combine like terms: 5x + -2x = 3x
-3X = 3x

Divide each side by '-3'.
X = -1x

Simplifying
X = -1x